TY - JOUR
T1 - Induced quantum stochastic processes
T2 - A solvable example of a quantum system strongly coupled with a reservoir
AU - Kosloff, R.
PY - 1982/1
Y1 - 1982/1
N2 - A reduction of the N-body dynamics of a system coupled to a reservoir is presented, applicable for the strong coupling limit. The reduction is based on a Markovian description of the dynamics of the reservoir, which means that the dynamics of the system is averaged over a probability measure of a path the reservoir can realize. Examples are solved analytically using the Wiener measure of a path (path integral). A new approach is presented for a dynamical measure of a discrete Markov process (evolution governed by a master equation). It is found that at short times the dissipative term grows as t3, for long times if the Markov process can reach equilibrium the dynamics of the system can be described as a Gaussian semi-group type evolution.
AB - A reduction of the N-body dynamics of a system coupled to a reservoir is presented, applicable for the strong coupling limit. The reduction is based on a Markovian description of the dynamics of the reservoir, which means that the dynamics of the system is averaged over a probability measure of a path the reservoir can realize. Examples are solved analytically using the Wiener measure of a path (path integral). A new approach is presented for a dynamical measure of a discrete Markov process (evolution governed by a master equation). It is found that at short times the dissipative term grows as t3, for long times if the Markov process can reach equilibrium the dynamics of the system can be described as a Gaussian semi-group type evolution.
UR - http://www.scopus.com/inward/record.url?scp=0012307545&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(82)90123-6
DO - 10.1016/0378-4371(82)90123-6
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AN - SCOPUS:0012307545
SN - 0378-4371
VL - 110
SP - 346
EP - 360
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-2
ER -